133300212342120 has 256 divisors, whose sum is σ = 459706370976000. Its totient is φ = 34317206074368.

The previous prime is 133300212342119. The next prime is 133300212342173. The reversal of 133300212342120 is 21243212003331.

133300212342120 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 0 + 212 + 3 + 421 + 20 = 666.

It is a super-2 number, since 2×133300212342120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290827767 + ... + 291285753.

It is an arithmetic number, because the mean of its divisors is an integer number (1795728011625).

Almost surely, 2^{133300212342120} is an apocalyptic number.

133300212342120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133300212342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229853185488000).

133300212342120 is an abundant number, since it is smaller than the sum of its proper divisors (326406158633880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133300212342120 is a wasteful number, since it uses less digits than its factorization.

133300212342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467329 (or 467319 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133300212342120 its reverse (21243212003331), we get a palindrome (154543424345451).

The spelling of 133300212342120 in words is "one hundred thirty-three trillion, three hundred billion, two hundred twelve million, three hundred forty-two thousand, one hundred twenty".